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Based on a quantum-trajectory approach, we theoretically analyze the statistics of energetic fluctuations for a pair of continuously monitored qubits. We quantitatively relate these energetic fluctuations to the rate of entanglement produced between the qubits, and build an energetic-based estimator to assess the presence of entanglement in the circuit. Remarkably, this estimator is valid at the single-trajectory level and shows to be robust against finite detection efficiency. Our work paves the road towards a fundamental understanding of the stochastic energetic processes associated with entanglement genesis, and opens new perspectives for witnessing quantum correlations thanks to quantum thermodynamic quantities.<\/jats:p>","DOI":"10.22331\/q-2019-07-15-166","type":"journal-article","created":{"date-parts":[[2019,7,15]],"date-time":"2019-07-15T14:40:11Z","timestamp":1563201611000},"page":"166","source":"Crossref","is-referenced-by-count":5,"title":["Single-shot energetic-based estimator for entanglement in a half-parity measurement setup"],"prefix":"10.22331","volume":"3","author":[{"given":"Cyril","family":"Elouard","sequence":"first","affiliation":[{"name":"Department of Physics and Astronomy, University of Rochester, Rochester, NY 14627, USA"},{"name":"CNRS and Universit\u00e9 Grenoble Alpes, Institut N\u00e9el, F-38042 Grenoble, France"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Alexia","family":"Auff\u00e8ves","sequence":"additional","affiliation":[{"name":"CNRS and Universit\u00e9 Grenoble Alpes, Institut N\u00e9el, F-38042 Grenoble, France"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"G\u00e9raldine","family":"Haack","sequence":"additional","affiliation":[{"name":"Universit\u00e9 de Gen\u00e8ve, Department of Applied Physics, Chemin de Pinchat 22, CH-1211 Gen\u00e8ve 4, Switzerland"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"9598","published-online":{"date-parts":[[2019,7,15]]},"reference":[{"key":"0","doi-asserted-by":"publisher","unstructured":"A. K. Ekert, Phys. Rev. Lett. 67, 661 (1991).","DOI":"10.1103\/PhysRevLett.67.661"},{"key":"1","doi-asserted-by":"publisher","unstructured":"C. H. Bennett, G. Brassard, C. Cr\u00e9peau, R. Jozsa, A. Peres, and W. K. Wootters, Phys. Rev. Lett. 70, 1895 (1993).","DOI":"10.1103\/PhysRevLett.70.1895"},{"key":"2","doi-asserted-by":"publisher","unstructured":"H.-J. Briegel, W. D\u00fcr, J. I. Cirac, and P. Zoller, Phys. Rev. Lett. 81, 5932 (1998).","DOI":"10.1103\/PhysRevLett.81.5932"},{"key":"3","doi-asserted-by":"publisher","unstructured":"R. Raussendorf and H. J. Briegel, Phys. Rev. Lett. 86, 5188 (2001).","DOI":"10.1103\/PhysRevLett.86.5188"},{"key":"4","doi-asserted-by":"crossref","unstructured":"C. I. Nielsen M., Quantum Computation and Quantum Information: 10th Anniversary Edition (Cambridge: Cambridge University Press, 2010).","DOI":"10.1017\/CBO9780511976667"},{"key":"5","doi-asserted-by":"publisher","unstructured":"K. Lalumi\u00e8re, J. M. Gambetta, and A. Blais, Phys. Rev. A 81, 040301 (2010).","DOI":"10.1103\/PhysRevA.81.040301"},{"key":"6","doi-asserted-by":"publisher","unstructured":"L. Tornberg and G. Johansson, Physical Review A 82, 012329 (2010).","DOI":"10.1103\/physreva.82.012329"},{"key":"7","doi-asserted-by":"publisher","unstructured":"A. Chantasri, M. E. Kimchi-Schwartz, N. Roch, I. Siddiqi, and A. N. Jordan, Phys. Rev. X 6, 041052 (2016).","DOI":"10.1103\/PhysRevX.6.041052"},{"key":"8","doi-asserted-by":"publisher","unstructured":"B. Royer, S. Puri, and A. Blais, Science Advances 4, eaau1695 (2018).","DOI":"10.1126\/sciadv.aau1695"},{"key":"9","doi-asserted-by":"publisher","unstructured":"B. Trauzettel, A. N. Jordan, C. W. J. Beenakker, and M. B\u00fcttiker, Phys. Rev. B 73, 235331 (2006).","DOI":"10.1103\/PhysRevB.73.235331"},{"key":"10","doi-asserted-by":"publisher","unstructured":"N. S. Williams and A. N. Jordan, Phys. Rev. A 78, 062322 (2008).","DOI":"10.1103\/PhysRevA.78.062322"},{"key":"11","doi-asserted-by":"publisher","unstructured":"G. Haack, H. F\u00f6rster, and M. B\u00fcttiker, Phys. Rev. B 82, 155303 (2010).","DOI":"10.1103\/PhysRevB.82.155303"},{"key":"12","doi-asserted-by":"publisher","unstructured":"C. Meyer zu Rheda, G. Haack, and A. Romito, Phys. Rev. B 90, 155438 (2014).","DOI":"10.1103\/PhysRevB.90.155438"},{"key":"13","doi-asserted-by":"publisher","unstructured":"D. Rist\u00e8, M. Dukalski, C. A. Watson, G. de Lange, M. J. Tiggelman, Y. M. Blanter, K. W. Lehnert, R. N. Schouten, and L. DiCarlo, Nature 502, 350 (2013).","DOI":"10.1038\/nature12513"},{"key":"14","doi-asserted-by":"publisher","unstructured":"N. Roch, M. E. Schwartz, F. Motzoi, C. Macklin, R. Vijay, A. W. Eddins, A. N. Korotkov, K. B. Whaley, M. Sarovar, and I. Siddiqi, Phys. Rev. Lett. 112, 170501 (2014).","DOI":"10.1103\/PhysRevLett.112.170501"},{"key":"15","doi-asserted-by":"publisher","unstructured":"S. J. Weber, A. Chantasri, J. Dressel, A. N. Jordan, K. W. Murch, and I. Siddiqi, Nature 511, 570 (2014).","DOI":"10.1038\/nature13559"},{"key":"16","doi-asserted-by":"publisher","unstructured":"Q. Ficheux, S. Jezouin, P. Campagne-Ibarcq, P. Rouchon, and B. Huard, in Quantum Information and Measurement (QIM) 2017 (Optical Society of America, 2017) p. QF5A.2.","DOI":"10.1364\/QIM.2017.QF5A.2"},{"key":"17","doi-asserted-by":"publisher","unstructured":"M. Naghiloo, J. J. Alonso, A. Romito, E. Lutz, and K. W. Murch, Phys. Rev. Lett. 121, 030604 (2018).","DOI":"10.1103\/PhysRevLett.121.030604"},{"key":"18","doi-asserted-by":"publisher","unstructured":"C. Elouard, D. Herrera-Mart\u00ed, B. Huard, and A. Auff\u00e8ves, Phys. Rev. Lett. 118, 260603 (2017a).","DOI":"10.1103\/PhysRevLett.118.260603"},{"key":"19","doi-asserted-by":"publisher","unstructured":"C. Elouard and A. N. Jordan, Phys. Rev. Lett. 120, 260601 (2018).","DOI":"10.1103\/PhysRevLett.120.260601"},{"key":"20","doi-asserted-by":"publisher","unstructured":"L. Buffoni, A. Solfanelli, P. Verrucchi, A. Cuccoli, and M. Campisi, (2018), arXiv:1806.07814.","DOI":"10.1103\/PhysRevLett.122.070603"},{"key":"21","doi-asserted-by":"publisher","unstructured":"X. Ding, J. Yi, Y. W. Kim, and P. Talkner, Phys. Rev. E 98, 042122 (2018).","DOI":"10.1103\/PhysRevE.98.042122"},{"key":"22","doi-asserted-by":"publisher","unstructured":"C. Elouard, D. A. Herrera-Mart\u00ed, M. Clusel, and A. Auff\u00e8ves, npj Quantum Information 3, 9 (2017b).","DOI":"10.1038\/s41534-017-0008-4"},{"key":"23","doi-asserted-by":"publisher","unstructured":"G. Manzano, J. M. Horowitz, and J. M. R. Parrondo, Phys. Rev. E 92, 032129 (2015).","DOI":"10.1103\/PhysRevE.92.032129"},{"key":"24","doi-asserted-by":"publisher","unstructured":"J. J. Alonso, E. Lutz, and A. Romito, Phys. Rev. Lett. 116, 080403 (2016).","DOI":"10.1103\/PhysRevLett.116.080403"},{"key":"25","doi-asserted-by":"publisher","unstructured":"C. Elouard and H. Mohammady, Work, heat and entropy production along quantum trajectories (2018) arXiv:1805.08305.","DOI":"10.1007\/978-3-319-99046-0_15"},{"key":"26","doi-asserted-by":"publisher","unstructured":"M. Riebe, H. H\u00e4ffner, C. F. Roos, W. H\u00e4nsel, J. Benhelm, G. P. T. Lancaster, T. W. K\u00f6rber, C. Becher, F. Schmidt-Kaler, D. F. V. James, and R. Blatt, Nature 429, 734 EP (2004).","DOI":"10.1038\/nature02570"},{"key":"27","doi-asserted-by":"publisher","unstructured":"H. M. Wiseman, Quantum and Semiclassical Optics: Journal of the European Optical Society Part B 8, 205 (1996).","DOI":"10.1088\/1355-5111\/8\/1\/015"},{"key":"28","doi-asserted-by":"publisher","unstructured":"K. Jacobs and D. A. Steck, Contemporary Physics 47, 279 (2006).","DOI":"10.1080\/00107510601101934"},{"key":"29","doi-asserted-by":"publisher","unstructured":"S. Pilgram and M. B\u00fcttiker, Phys. Rev. Lett. 89, 200401 (2002).","DOI":"10.1103\/PhysRevLett.89.200401"},{"key":"30","doi-asserted-by":"publisher","unstructured":"A. N. Korotkov, Phys. Rev. B 60, 5737 (1999).","DOI":"10.1103\/PhysRevB.60.5737"},{"key":"31","unstructured":"C. Gardiner, Handbook of Stochastic Methods (Springer-Verlag Berlin Heidelberg, 1985)."},{"key":"32","doi-asserted-by":"publisher","unstructured":"D. T. Gillespie, American Journal of Physics 64, 225 (1996).","DOI":"10.1119\/1.18210"},{"key":"33","doi-asserted-by":"publisher","unstructured":"W. K. Wootters, Phys. Rev. Lett. 80, 2245 (1998).","DOI":"10.1103\/PhysRevLett.80.2245"},{"key":"34","doi-asserted-by":"publisher","unstructured":"K. Brandner, K. Saito, and U. Seifert, Phys. Rev. X 5, 031019 (2015).","DOI":"10.1103\/PhysRevX.5.031019"},{"key":"35","unstructured":"K. Abdelkhalek, Y. Nakata, and D. Reeb, Fundamental energy cost for quantum measurement, ArXiv:1609.06981."},{"key":"36","doi-asserted-by":"publisher","unstructured":"C. Elouard, D. Herrera-Mart\u00ed, B. Huard, and A. Auff\u00e8ves, Physical Review Letters 118, 260603 (2017c).","DOI":"10.1103\/physrevlett.118.260603"},{"key":"37","doi-asserted-by":"publisher","unstructured":"J. Yi, P. Talkner, and Y. W. Kim, Phys. Rev. E 96, 022108 (2017).","DOI":"10.1103\/PhysRevE.96.022108"},{"key":"38","unstructured":"M. B. Plenio and S. Virmani, Quantum Info. Comput. 7, 1 (2007)."},{"key":"39","doi-asserted-by":"publisher","unstructured":"J. Anders, D. Kaszlikowski, C. Lunkes, T. Ohshima, and V. Vedral, New Journal of Physics 8, 140 (2006).","DOI":"10.1088\/1367-2630\/8\/8\/140"},{"key":"40","doi-asserted-by":"publisher","unstructured":"J. Anders, Phys. Rev. A 77, 062102 (2008).","DOI":"10.1103\/PhysRevA.77.062102"},{"key":"41","doi-asserted-by":"publisher","unstructured":"M. Huber, M. Perarnau-Llobet, K. V. Hovhannisyan, P. Skrzypczyk, C. Kl\u00f6ckl, N. Brunner, and A. Ac\u00edn, New Journal of Physics 17, 065008 (2015).","DOI":"10.1088\/1367-2630\/17\/6\/065008"},{"key":"42","doi-asserted-by":"publisher","unstructured":"D. E. Bruschi, M. Perarnau-Llobet, N. Friis, K. V. Hovhannisyan, and M. Huber, Phys. Rev. E 91, 032118 (2015).","DOI":"10.1103\/PhysRevE.91.032118"},{"key":"43","doi-asserted-by":"publisher","unstructured":"N. Friis, M. Huber, and M. Perarnau-Llobet, Phys. Rev. E 93, 042135 (2016).","DOI":"10.1103\/PhysRevE.93.042135"},{"key":"44","doi-asserted-by":"publisher","unstructured":"F. Giazotto and M. J. Mart\u00ednez-P\u00e9rez, Nature 492, 401 (2012).","DOI":"10.1038\/nature11702"},{"key":"45","doi-asserted-by":"publisher","unstructured":"S. Jezouin, F. D. Parmentier, A. Anthore, U. Gennser, A. Cavanna, Y. Jin, and F. Pierre, Science 342, 601 (2013).","DOI":"10.1126\/science.1241912"},{"key":"46","doi-asserted-by":"publisher","unstructured":"S. Gasparinetti, K. Viisanen, O.-P. Saira, T. Faivre, M. Arzeo, M. Meschke, and J. Pekola, Physical Review Applied 3, 014007 (2015).","DOI":"10.1103\/PhysRevApplied.3.014007"},{"key":"47","doi-asserted-by":"publisher","unstructured":"Z. Iftikhar, A. Anthore, S. Jezouin, F. D. Parmentier, Y. Jin, A. Cavanna, A. Ouerghi, U. Gennser, and F. Pierre, Nature Communications 7, 12908 (2016).","DOI":"10.1038\/ncomms12908"},{"key":"48","doi-asserted-by":"publisher","unstructured":"A. Fornieri and F. Giazotto, Nature Nanotechnology 12, 944 (2017).","DOI":"10.1038\/nnano.2017.204"},{"key":"49","doi-asserted-by":"publisher","unstructured":"M. Banerjee, M. Heiblum, A. Rosenblatt, Y. Oreg, D. E. Feldman, A. Stern, and V. Umansky, Nature 545, 75 (2017).","DOI":"10.1038\/nature22052"},{"key":"50","doi-asserted-by":"publisher","unstructured":"D. M. T. van Zanten, D. M. Basko, I. M. Khaymovich, J. P. Pekola, H. Courtois, and C. B. Winkelmann, Phys. Rev. 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